An introduction to mathematical modeling, computer simulation, and procedural programming. Various deterministic, stochastic, and simulation models are covered, with applications to engineering, physics, biology, chemistry, business, and other areas. Requirements include modeling projects with written reports and class presentations. Prerequisite: acceptable placement score or grade of C or higher in 220, 325. (Equivalent to ENGR 365). QL, WCII

Study of elementary number theory, groups, rings, and fields. Specific examples and additional topics selected by instructor. Prerequisite: grade of C or higher in 112. QL

Data analysis using simulation, machine learning algorithms: logistic regression, Naive Bayes, decision trees, k-means, k-nearest neighbors, and dimension reduction (principal component analysis). Students will learn how to test and validate models as well as format and display data. A data analysis project will be completed. Prerequisite: grade of C or higher in 230.

Random variables, probability theory, application, and simulation. The binomial, Poisson, geometric, normal, gamma, and chi-square distributions are studied. Additional topics covered as determined by the instructor. Prerequisite: grade of C or higher in 220; grade of C or higher in 130 or 230. QL

Four hours lecture per week. First order equations, second order linear equations, linear systems of equations, numerical methods, nonlinear systems and phase place analysis, matrices and linear systems, matrix operations, determinants, linear transformations, vector spaces, eigenvalues and eigenvectors. Prerequisite: grade of C or higher in 221. QL

Multivariate calculus: three-dimensional coordinate system, vectors functions, partial differentiation, multiple integration, integration in vector fields, and applications. Prerequisite: C or higher in 221. QL

Independent reading and/or research under the guidance of a mathematics faculty member. Refer to the academic policy section for independent study policy. Independent study contract is required. May be repeated for credit.

Non-classroom experiences in the field of mathe- matics. Placements are off-campus, and may be full- or part-time, and with or without pay. Credit for experiences must be sought prior to occurance, and learning contracts must be submitted before the end of the first week of the semester. See the experiential learning: internship section of this catalog for more details. Restricted to students with freshman or sophomore standing. Graded CR/NC.

Courses on topics of interest to mathematics students offered on the basis of need, interest, or timeliness. Prerequisites: as determined by the instructor. Restricted to students with freshman or sophomore standing. May be repeated for credit. For specific section description, click to the Section Details in VitNet.

Several topics applicable to the study of business are covered. In particular, the course considers systems of linear equations and linear programming, the mathematics of finance, and an introduction to probability. Emphasis in the course is on applications. Prerequisite: acceptable placement score or grade of C or higher in 111 or 112. QL